scholarly journals Bi-Continuous semigroups for flows on infinite networks

2021 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Christian Budde ◽  
Marjeta Kramar Fijavž
Keyword(s):  
Infinite Networks

scholarly journals Quasiharmonic classification of infinite networks

1980 ◽  
Vol 2 (4) ◽  
pp. 339-344 ◽  
Author(s):  
Maretsugu Yamasaki
Keyword(s):  
Infinite Networks

scholarly journals Stability and moment bounds under utility-maximising service allocations: Finite and infinite networks

2020 ◽  
Vol 52 (2) ◽  
pp. 463-490
Author(s):  
Seva Shneer ◽  
Alexander Stolyar
Keyword(s):  
Steady State ◽  
Wide Class ◽  
Continuous Time ◽  
Service Rate ◽  
Fluid Limit ◽  
Natural Conditions ◽  
Infinite Systems ◽  
Moment Bounds ◽  
Infinite Networks ◽  
State Moment

AbstractWe study networks of interacting queues governed by utility-maximising service-rate allocations in both discrete and continuous time. For finite networks we establish stability and some steady-state moment bounds under natural conditions and rather weak assumptions on utility functions. These results are obtained using direct applications of Lyapunov–Foster-type criteria, and apply to a wide class of systems, including those for which fluid-limit-based approaches are not applicable. We then establish stability and some steady-state moment bounds for two classes of infinite networks, with single-hop and multi-hop message routes. These results are proved by considering the infinite systems as limits of their truncated finite versions. The uniform moment bounds for the finite networks play a key role in these limit transitions.

scholarly journals A spectral small-gain condition for input-to-state stability of infinite networks

2020 ◽  
Vol 53 (2) ◽  
pp. 5303-5308
Author(s):  
Christoph Kawan ◽  
Andrii Mironchenko ◽  
Abdalla Swikir ◽  
Navid Noroozi ◽  
Majid Zamani
Keyword(s):  
Small Gain ◽  
Infinite Networks

scholarly journals A remark on parabolic index of infinite networks

1977 ◽  
Vol 7 (1) ◽  
pp. 147-152 ◽  
Author(s):  
Fumi-Yuki Maeda
Keyword(s):  
Infinite Networks

On Gale's feasibility theorem for certain infinite networks

1994 ◽  
Vol 62 (4) ◽  
pp. 378-384 ◽  
Author(s):  
Werner Oettli ◽  
Maretsugu Yamasaki
Keyword(s):  
Infinite Networks
Sign in / Sign up

Export Citation Format

Share Document